57493947456 has 168 divisors, whose sum is σ = 180153368928. Its totient is φ = 17385984000.

The previous prime is 57493947449. The next prime is 57493947457. The reversal of 57493947456 is 65474939475.

57493947456 is a `hidden beast` number, since 5 + 7 + 4 + 93 + 94 + 7 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57493947393 and 57493947402.

It is not an unprimeable number, because it can be changed into a prime (57493947457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3101736 + ... + 3120216.

Almost surely, 2^57493947456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57493947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90076684464).

57493947456 is an abundant number, since it is smaller than the sum of its proper divisors (122659421472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57493947456 is a wasteful number, since it uses less digits than its factorization.

57493947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19001 (or 18988 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 57493947456 in words is "fifty-seven billion, four hundred ninety-three million, nine hundred forty-seven thousand, four hundred fifty-six".